An Objective Penalty Function Algorithm for Bilevel Programming Based on Multi-Parameters
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Publication:4912749
DOI10.1080/01630563.2012.723295zbMath1384.90077OpenAlexW1970816989MaRDI QIDQ4912749
Zhiqing Meng, Rui Shen, Min Jiang, Xin-Sheng Xu
Publication date: 5 April 2013
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2012.723295
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)
Cites Work
- Solving quadratic convex bilevel programming problems using a smoothing method
- A dual-relax penalty function approach for solving nonlinear bilevel programming with linear lower level problem
- Some properties of the bilevel programming problem
- Bilevel multiplicative problems: A penalty approach to optimality and a cutting plane based algorithm
- An exact penalty on bilevel programs with linear vector optimization lower level
- Practical bilevel optimization. Algorithms and applications
- Bilevel and multilevel programming: A bibliography review
- A bilevel programming approach to the travelling salesman problem.
- Foundations of bilevel programming
- Bilevel programming in traffic planning: Models, methods and challenge
- Discrete linear bilevel programming problem
- Scheduling with monotonous earliness and tardiness penalties
- A globally convergent algorithm for a class of bilevel nonlinear programming problem
- A penalty function algorithm with objective parameters for nonlinear mathematical programming
- Production planning problem with sequence dependent setups as a bilevel programming problem
- A trust-region method for nonlinear bilevel programming: algorithm and computational exper\-ience
- A Smoothing Objective Penalty Function Algorithm for Inequality Constrained Optimization Problems
- Network design problem with congestion effects: A case of bilevel programming
- Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
- Exact penalty functions for convex bilevel programming problems.
